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3 years ago

if (-4,5) is the only solution to a system of two linear equations, then the graphical solution would show:

1 answer:

7 0

What shape do linear equations make? To picture the solution visually, you can imagine two of those shapes meeting on a graph at one (and only one) point, (-4,5).

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Write the monomial in standard form. name it's coefficient and identify its degree.

Hunter-Best [27]

Answer:

$Standard\ Form = {3n^2} m^{-2}$

Step-by-step explanation:

Given

$\frac{2}{3m^2n} * 4.5n^3$

Required

Write in Standard Form

To start with; the two monomials have to be multiplied together;

$\frac{2}{3m^2n} * 4.5n^3$

$Standard\ Form = \frac{2 * 4.5n^3}{3m^2n}$

Split the numerator and the denominator

$Standard\ Form = \frac{2 * 4.5 * n^3}{3 * m^2 * n}$

Multiply Like terms

$Standard\ Form = \frac{9 * n^3}{3 * m^2 * n}$

Divide 9 by 3 to give 3

$Standard\ Form = \frac{3 * n^3}{m^2 * n}$

Divide n³ by n to n²

$Standard\ Form = \frac{3 * n^2}{m^2 }$

Split fraction

$Standard\ Form = {3 * n^2} * \frac{1}{m^2 }$

From laws of indices;

$\frac{1}{a^n} = a^{-n}$

$Standard\ Form = {3 * n^2} * \frac{1}{m^2 }$ becomes

$Standard\ Form = {3 * n^2} * m^{-2}$

Multiply all together

$Standard\ Form = {3n^2} m^{-2}$

5 0

3 years ago

What is the Cube of a (-99)

Arada [10]

Answer:

-970299

Step-by-step explanation:

the cube of -99 means -99 x -99 x - 99

that is: -970299

Hope this helps

4 0

3 years ago

The black figure is an ellipse, and the black line segment is is major axis. What is the length of the blue line segment?

NeTakaya

Answer:

Step-by-step explanation:

The formula we need to solve this is:

$d_1+d_2=2a$

Where

$d_1$ is the distance from one focus to the vertex

$d_2$ is the second distance from another focus to same vertex

Note: Here, vertex point is the point on top. The common point from which the RED and BLUE line meets the 2 foci

$a$ is half the length of the major axis (which is 9 here since total major axis is given as 18)

Now we can plug into the equation and solve:

$d_1+d_2=2a\\8.5+d_2=2(9)\\8.5+d_2=18\\d_2=18-8.5\\d_2=9.5$

D is the correct answer.

6 0

3 years ago

Which ordered pair makes the equation true? 4x – 9y = –5 (–5, –2) (–1, 1) (10, 5) (20, 4)

mihalych1998 [28]

(10,5) would make the equation correct

8 0

3 years ago

For a school fundraiser students are selling snack bags and candy bars to raise money on Wednesday the students or 23 snack bags

meriva

Answer:

$1.75

Step-by-step explanation:

The selling for each candy bar may be determined by a set of linear equations. This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations.

It may be solved by substitution in that one of the variable is made the subject of the equation and the result is substituted into the second equation .

Let the cost of a snack bag be s and that of a candy bar be c, then if on Wednesday the students or 23 snack bags and 36 candy bars that raised $114.75 on Thursday the seventh so 37 snack bags and 36 candy bars that raised $146.25

23s + 36c = 114.75

37s + 36c = 146.25

14s = 31.5

s = $2.25

23(2.25) + 36c = 114.75

36c = 114.75 - 51.75

36c = 63

c = 63/36

= $1.75

3 0

3 years ago